2070517680 has 640 divisors, whose sum is σ = 9085132800. Its totient is φ = 420940800.

The previous prime is 2070517679. The next prime is 2070517681. The reversal of 2070517680 is 867150702.

It is an interprime number because it is at equal distance from previous prime (2070517679) and next prime (2070517681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2070517681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9812775 + ... + 9812985.

It is an arithmetic number, because the mean of its divisors is an integer number (14195520).

Almost surely, 2^2070517680 is an apocalyptic number.

2070517680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542566400).

2070517680 is an abundant number, since it is smaller than the sum of its proper divisors (7014615120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2070517680 is a wasteful number, since it uses less digits than its factorization.

2070517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2070517680 is about 45502.9414433836. The cubic root of 2070517680 is about 1274.5581306186.

The spelling of 2070517680 in words is "two billion, seventy million, five hundred seventeen thousand, six hundred eighty".